Unit Plan
Mathematics Vision Project

Module 5: Features of Functions

For Teachers 8th - 10th Standards
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas...
Lesson Plan
Curated OER

Graphs and Transformations of Functions

For Teachers 8th - 10th
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
Worksheet
Curated OER

Quiz: Logarithmic Functions

For Students 10th - 12th
Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...
Lesson Plan
EngageNY

Representing, Naming, and Evaluating Functions (Part 1)

For Teachers 9th - 10th Standards
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 
Worksheet
Curated OER

Calculus 30: Domain and Range

For Students 11th - 12th
In this domain and range worksheet, learners find the domain and range of 23 equations. Students find the domain and range from a graph and determine a graph given the domain and range.
Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
Interactive
CK-12 Foundation

Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine

For Students 10th - 12th Standards
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
Unit Plan
Curated OER

Linear and Exponential Functions

For Teachers 8th - 11th Standards
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Handout
Del Mar College

Finding the Domain

For Students 9th - 12th Standards
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...
Worksheet
Curated OER

Domain and Range

For Students 12th - Higher Ed
In this domain and range instructional activity, learners solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is...
Lesson Plan
Curated OER

Profitable Soda Stand

For Teachers 8th - 10th
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Lesson Plan
Curated OER

Finding Domain and Range

For Teachers 10th - 11th
In this domain and range worksheet, young scholars observe a graph and identify the domain and range of given functions. Afterwards, they solve functions to identify the range. Fifteen problems are provided on this one-page worksheet.
Worksheet
2
2
Flipped Math

Unit 8 Review: Functions

For Students 9th - 10th Standards
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
Worksheet
Curated OER

Functions Quiz

For Students 11th - Higher Ed
In this college level algebra instructional activity, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page...
Worksheet
Curated OER

Easy Worksheet: Domain and Range

For Students 9th - 12th
In this domain and range learning exercise, students solve 4 short answer problems. Students find the domain and range of various functions given an equation, table of values, or graph.
Interactive
CK-12 Foundation

Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
Worksheet
Curated OER

Eight Multiple Choice Domain and Range of Functions Problems

For Students 9th - 11th
In this function instructional activity, students determine domains and ranges in eight multiple choice problems.  The solutions are provided.
Assessment
Mt. San Antonio Collage

Quiz 2: Types of Functions

For Students 9th - 12th Standards
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 
Lesson Plan
EngageNY

Function Composition

For Teachers 11th - 12th Standards
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
Lesson Plan
Virginia Department of Education

Composition of Functions

For Students 10th - 12th Standards
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Lesson Plan
Curated OER

Worksheet 13-Fall 1995

For Teachers Higher Ed
In this math worksheet, students find the domain and range of trigonometric functions. They estimate the limit of a given function. Students identify three statements about one to one functions as true or false. They solve for k in two...
Lesson Plan
Curated OER

Regents Exam Questions: Domain and Range 1

For Teachers 9th - 10th
In this domain and range worksheet, students examine functions and identify the range of a function.  They find the maximum and minimum value of a function.  This two-page worksheet contains 7 multiple-choice problems. ...
Lesson Plan
Alabama Learning Exchange

Building Functions: Reverse to Inverse

For Teachers 10th - 12th Standards
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal Translations

For Students 10th - 12th Standards
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.